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Finding the Fourth Proportional to 2,170.67, 2,994.53 and 1,285.97

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Solution

The fourth proportional to 2,170.67, 2,994.53 and 1,285.97 is: 1,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.67 : 2,994.53 = 1,285.97 : x
  2. Step 2: Convert to fraction form
    2,170.67/2,994.53 = 1,285.97/x
  3. Step 3: Cross multiply
    2,170.67x = 2,994.53 × 1,285.97
  4. Step 4: Simplify right side
    2,170.67x = 3,850,854.34
  5. Step 5: Solve for x
    x = 3,850,854.34/2,170.67
  6. Step 6: Final answer
    x = 1,774.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.